GCD of 294, 628, 636 Calculator

Given Input numbers are 294, 628, 636

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 294, 628, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 628, 636 is 2.

Therefore, GCD of numbers 294, 628, 636 is 2

Given Input Data is 294, 628, 636

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 636 is 2 x 2 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(294, 628) = 92316

GCD(294, 628) = ( 294 x 628 ) / 92316

GCD(294, 628) = 184632 / 92316

GCD(294, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 294, 628, 636 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 112, 488
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• GCD of 461, 159, 513
• GCD of 155, 229, 634
• GCD of 905, 633, 441

1. What is the GCD of 294, 628, 636?

GCD of 294, 628, 636 is 2

2. Where do I get the detailed procedure to find GCD of 294, 628, 636?

You can find a detailed procedure to find GCD of 294, 628, 636 on our page.

3. How to find GCD of 294, 628, 636 on a calculator?

You can find the GCD of 294, 628, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.